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If x. y, z are non- real number", then t...

If x. y, z are non- real number", then the inverse of matrix `A = [[x,0,0],[0,y,0],[0,0,z]]` is

A

`[[x^-1,0,0],[0,y^-1,0],[0,0,z^-1]]`

B

`xyz[[x^-1,0,0],[0,y^-1,0],[0,0,z^-1]]`

C

`1/xyz[[x,0,0],[0,y,0],[0,0,z]]`

D

`1/xyz[[1,0,0],[0,1,0],[0,0,1]]`

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  4. If a, b and c are real numbers, and triangle = |[b+c,c+a,a+b],[c+a,a+b...

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  9. Let A = [[1,-2,1],[-2,3,1],[1,1,5]] Verify that [adj A]^-1 = adj (A^-1...

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  11. Evaluate |[1,x,y],[1,x+y,y],[1,x,x+y]|

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  15. Prove that: |[1,1+p,1+p+q],[2,3+2p,4+3p+2q],[3,6+3p,10+6p+3q]|=1

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  16. Using properties of determinants, prove that: |[sinalpha,cosalpha,cos(...

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  18. If a, b, c, are in A.P, then the determinant |[x+2,x+3,x+2a],[x+3,x+4,...

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  19. If x. y, z are non- real number", then the inverse of matrix A = [[x,0...

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